title: An inverse problem in radiation therapy.
abstract: The mathematical formalism associated with a 2-dimensional inverse problem in radiation therapy treatment and planning is discussed. The formalism is extended to convex phantoms of arbitrary cross-section. Relations necessary to produce circularly symmetric dose distributions about any point within the phantom are obtained. The general case for a particularly simple class of ideal dose distributions within 2-dimensional convex phantoms of arbitrary shape is solved. The relationship between treatment beans with and without negative fluences, and their associated dose distributions, is discussed.
authors.affiliation: Department of Radiation Therapy, Harvard Medical School, Boston, MA 02115.
authors.forename: N H
authors.initials: NH
authors.lastname: Barth
mesh_terms: D006801:Humans; D008433:Mathematics; D008961:Models, Structural; D011879:Radiotherapy Dosage; D011880:Radiotherapy Planning, Computer-Assisted; D011881:Radiotherapy, Computer-Assisted